cubical-transport-hott-lean4/CubicalTransport.lean
Maximus Gorog 4d6853a0ef REL1 Inductive.lean + Rust dispatch + 9 new smoke tests (25/25 + 46/46)
Inductive.lean (new module): schema combinators (mkSchema, mkCtor,
mkPath) and canonical schema instances:
  - Plain inductives: natSchema, boolSchema, listSchema
  - HITs: s1Schema, intervalSchema, propTruncSchema
Plus type-level helpers (CType.natC, listC, s1C, …) and term-level
ergonomic builders (zeroC, succC, nilC, consC, baseC, loopC, …,
natLit, natElim, boolElim, listElim).

Rust kernel (native/cubical/src/):
  · tags.rs       — TY_IND, TERM_DIMEXPR/CTOR/INDELIM, VAL_VCTOR/VDIMEXPR,
                    NEU_NINDELIM tag constants per docs/INDUCTIVE_TYPES.md §6.
  · value.rs      — mk_vctor, mk_vdimexpr, mk_nindelim builders.
  · eval.rs       — TERM_DIMEXPR / TERM_CTOR / TERM_INDELIM dispatch
                    arms; full β-reduction on canonical vctor target
                    (find matching branch by name, vapp chain over
                    ctor args); stuck nIndElim build for vneu target;
                    eval_term_list / eval_branches / find_branch_body
                    helpers (recursive list walking).
  · readback.rs   — VAL_VCTOR / VAL_VDIMEXPR readback arms;
                    readback_val_list, map_readback_branches helpers;
                    NEU_NINDELIM neutral readback; mk_term_dimexpr,
                    mk_term_ctor, mk_term_indelim builders.

Tests (CubicalTransport/FFITest.lean): nine new smoke arms exercising
canonical-form eval (zero, succ-of-succ, false, cons-true-nil, base,
loop@r), readback round-trip on succ zero, and indElim β on Bool with
both branch directions.  Result: 25/25 smoke + 46/46 properties =
71/71 passing.

Existing tests untouched (constructor tags preserved per REL1 freeze).
Rust ABI version is now de facto v2 (new tags); update the
TOPOLEI_FFI_ABI_VERSION constant in a follow-up commit.

Remaining REL1 work (per task list):
  - #4  HasType arms for ctor / indElim
  - #8  transport over .ind axioms
  - #9  composition over .ind axioms
  - Path-ctor boundary firing (REL1.1)
  - Recursive-arg IH wiring in indElim β (REL1.1)
  - Topolei migration (sibling repo) per docs/INDUCTIVE_TYPES.md §9.1

Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>
2026-04-30 15:15:50 -06:00

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import CubicalTransport.Interval
import CubicalTransport.Face
import CubicalTransport.Syntax
import CubicalTransport.Subst
import CubicalTransport.DimLine
import CubicalTransport.Typing
import CubicalTransport.Equiv
import CubicalTransport.Glue
import CubicalTransport.Value
import CubicalTransport.Transport
import CubicalTransport.Line
import CubicalTransport.Eval
import CubicalTransport.EvalTest
import CubicalTransport.Readback
import CubicalTransport.FFI
import CubicalTransport.FFITest
import CubicalTransport.ValueTyping
import CubicalTransport.TransportLaws
import CubicalTransport.System
import CubicalTransport.CompLaws
import CubicalTransport.Soundness
import CubicalTransport.Inductive
import CubicalTransport.PropertyTest